165/48 as a Decimal and Mixed Number

165/48 as a decimal and mixed number expansion provides the detailed information about what is 165/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/48 as a Decimal
165/48 = 3.4375
Hence,
165/48 as a decimal equals to 3.4375
where,
165/48 is a given fraction,
The decimal expansion of 165/48 is 3.4375

165/48 as a Mixed Number
165/48 = (144 + 21)/48
= 144/48 + 21/48
= 3 + 21/48
= 3 21/48
165/48 = 3 21/48

Hence,
165/48 as a mixed number is 3 ²¹/₄₈
where,
165/48 is a given fraction,
3 ²¹/₄₈ is the mixed number representation of 165/48.

The below work with steps provide the detailed information about how to convert fraction 165/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/48.

step 2 The numerator is greater than the denominator of the fraction 165/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/48
= 144 + 21/48
= (3 x 48) + 21/48

step 3 Make the above expression as individual fractions:
= (3 x 48)/48 + 21/48

step 4 Simplify the above expression:
= 3 x 48/48 + 21/48
= 3 + 21/48
= 3 + 7 x 3/16 x 3
= 3 + 7/16
3 + 7/16 can be written as a mixed number 3 ⁷/₁₆.


step 5 Find the decimal equivalent for the fractional part 7/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 3 + (7/16 x 625/625)
= 3 + 4375/10000

step 6 Simplify the above expression further:
= 3 + 0.4375
= 3.4375
165/48 = 3.4375

Hence,
165/48 as a decimal is 3.4375
165/48 as a mixed number is 3 ⁷/₁₆